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Finding the Fourth Proportional to 11,166.80, 15,672.40 and 11,166.80

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Solution

The fourth proportional to 11,166.80, 15,672.40 and 11,166.80 is: 15,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.80 : 15,672.40 = 11,166.80 : x
  2. Step 2: Convert to fraction form
    11,166.80/15,672.40 = 11,166.80/x
  3. Step 3: Cross multiply
    11,166.80x = 15,672.40 × 11,166.80
  4. Step 4: Simplify right side
    11,166.80x = 175,010,556.32
  5. Step 5: Solve for x
    x = 175,010,556.32/11,166.80
  6. Step 6: Final answer
    x = 15,672.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.